A5012646902- Optimization and Variational Analysis
- Contact Mechanics and Variational Inequalities
- Topology Optimization in Engineering
- Nonlinear Waves and Solitons
- Fractional Differential Equations Solutions
- Holomorphic and Operator Theory
- Advanced Harmonic Analysis Research
- Fuzzy Systems and Optimization
- Multi-Criteria Decision Making
- Advanced Mathematical Physics Problems
- Quantum Mechanics and Non-Hermitian Physics
- Analytic and geometric function theory
- Advanced Banach Space Theory
- Iterative Methods for Nonlinear Equations
Jazan University
2024
University of Reading
2021
<p>The Riemann waves in two spatial dimensions are described by the fractional Calogero-Bogoyavlenskii-Schiff equation, which has been used to explain numerous physical phenomena including magneto-sound plasmas, tsunamis, and flows rivers internal oceans. This work concerned itself with obtaining new analytic soliton solutions for model based on conformable. By solving equation Riccati-Bernoulli sub-ODE technique association Bäcklund transformation, solution was found terms of...
In this paper, we propose a system of nonlinear mixed variational inequality problems, which consists two elliptic problems on Banach spaces. Under suitable assumptions, using the Kakutani-Ky Fan fixed point theorem and Minty techniques, prove solution set to problem is nonempty, weakly compact unique. Additionally, suggest stability result for by perturbing duality mappings. Furthermore, present an optimal control governed establish solvability result.
Our paper proposes a system of nonlinear mixed variational inequality problems (SNMVIPs) on Banach spaces. Under suitable assumptions, using the K-Fan fixed point theorem and Minty techniques, we demonstrate that solution set to SNMVIP is nonempty, weakly compact, unique. Additionally, suggest stability result for SNMVIPs by perturbing duality mappings. Furthermore, present an optimal control problem governed show it can be solved.
This text deals with exploring random solutions for generalized nonlinear variational inequality problems. Using the Fan-KKM theorem and Aumann&#039;s measurable selection theorem, we are able to prove existence uniqueness of solution sets under conditions monotonicity convexity. Additionally, use Minty&#039;s lemma demonstrate compactness convexity sets.
In this paper, we considered a mixed variational-hemivariational inequality problem in reflexive Banach space with set of constraints, nonlinear operator, sequence generated for data perturbation, and parameter. We proved the existence uniqueness solution its perturbation. The research focuses on strong convergence sequences suggested by problem.
This text deals with exploring random solutions for generalized nonlinear variational inequality problems. By leveraging the Fan-KKM theorem and Aumann’s measurable selection theorem, we can establish existence uniqueness of solution sets, given conditions monotonicity convexity. Additionally, use Minty’s lemma to demonstrate compactness convexity sets.
We relate the exponential integrability of conjugate function $\tilde{f}$ to size gap in essential range $f$. Our main result complements a related theorem Zygmund.